I'm not a tea drinker, but I think I recall that the tea dispensers are just the regular, spigot type dispensers. There's no RFID associated with them as far as I know.
According to a cast member, you are allowed unlimited refills of coffee and tea. It's self serve, no rapidfill nonsense. This is why we had purchased a refillable mug on our last trip...we drank coffee every morning and tea every night. Bliss.
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